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ExamsJEE AdvancedPhysics

In the equation \(\frac{1}{X} =\) angular frequency / angular velocity, the dimensional formula of the physical quantity \(X\) is:

  1. (a) II (i) R
  2. (b) IV (i) R
  3. (c) III (i) R
  4. (d) I (i) P

Correct answer: (c) III (i) R

Solution

Angular frequency and angular velocity both have dimensions of \(T^{-1}\). Their ratio is dimensionless, so \(1/X\) is dimensionless and hence \(X\) is also dimensionless; the corresponding coded option is (c) III (i) R.

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